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Upscaling of variational inequalities arising in nonlinear problems with unilateral constraints
Author(s) -
Timofte C.
Publication year - 2007
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200610324
Subject(s) - homogenization (climate) , variational inequality , bounded function , nonlinear system , mathematics , obstacle , domain (mathematical analysis) , obstacle problem , asymptotic homogenization , mathematical analysis , physics , algorithm , biodiversity , ecology , quantum mechanics , composite number , political science , law , biology
The aim of this paper is to study the asymptotic behavior of the solution of a nonlinear variational inequality in periodically perforated media. The domain is considered to be a fixed bounded open subset of ℝ n , in which identical and periodically distributed perforations of size ϵ are made. The asymptotic behavior of the solution of such a problem is governed by an obstacle problem, associated to the homogenization of a periodic heterogeneous and perforated medium.